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Finding the Third Proportional to 178,402,294.13 and 386,569,432.13

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Solution

The third proportional to 178,402,294.13 and 386,569,432.13 is: 837,634,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,402,294.13 : 386,569,432.13 = 386,569,432.13 : x
  2. Step 2: Convert to fraction form
    178,402,294.13/386,569,432.13 = 386,569,432.13/x
  3. Step 3: Cross multiply
    178,402,294.13x = 386,569,432.13 × 386,569,432.13
  4. Step 4: Simplify right side
    178,402,294.13x = 149,435,925,853,444,992
  5. Step 5: Solve for x
    x = 149,435,925,853,444,992/178,402,294.13
  6. Step 6: Final answer
    x = 837,634,552.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.