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Finding the Third Proportional to 101,786,640.19 and 157,286,191.50

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Solution

The third proportional to 101,786,640.19 and 157,286,191.50 is: 243,047,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,786,640.19 : 157,286,191.50 = 157,286,191.50 : x
  2. Step 2: Convert to fraction form
    101,786,640.19/157,286,191.50 = 157,286,191.50/x
  3. Step 3: Cross multiply
    101,786,640.19x = 157,286,191.50 × 157,286,191.50
  4. Step 4: Simplify right side
    101,786,640.19x = 24,738,946,036,574,672
  5. Step 5: Solve for x
    x = 24,738,946,036,574,672/101,786,640.19
  6. Step 6: Final answer
    x = 243,047,083.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.