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Finding the Third Proportional to 178,100,514 and 272,447,290

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Solution

The third proportional to 178,100,514 and 272,447,290 is: 416,773,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,100,514 : 272,447,290 = 272,447,290 : x
  2. Step 2: Convert to fraction form
    178,100,514/272,447,290 = 272,447,290/x
  3. Step 3: Cross multiply
    178,100,514x = 272,447,290 × 272,447,290
  4. Step 4: Simplify right side
    178,100,514x = 74,227,525,828,344,096
  5. Step 5: Solve for x
    x = 74,227,525,828,344,096/178,100,514
  6. Step 6: Final answer
    x = 416,773,226.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.