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Finding the Third Proportional to 163,286,306,146.50 and 227,036,556,768

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Solution

The third proportional to 163,286,306,146.50 and 227,036,556,768 is: 315,676,184,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,286,306,146.50 : 227,036,556,768 = 227,036,556,768 : x
  2. Step 2: Convert to fraction form
    163,286,306,146.50/227,036,556,768 = 227,036,556,768/x
  3. Step 3: Cross multiply
    163,286,306,146.50x = 227,036,556,768 × 227,036,556,768
  4. Step 4: Simplify right side
    163,286,306,146.50x = 51,545,598,109,069,286,047,744
  5. Step 5: Solve for x
    x = 51,545,598,109,069,286,047,744/163,286,306,146.50
  6. Step 6: Final answer
    x = 315,676,184,522.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.