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Finding the Third Proportional to 124,151,840 and 292,660,436

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Solution

The third proportional to 124,151,840 and 292,660,436 is: 689,882,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,151,840 : 292,660,436 = 292,660,436 : x
  2. Step 2: Convert to fraction form
    124,151,840/292,660,436 = 292,660,436/x
  3. Step 3: Cross multiply
    124,151,840x = 292,660,436 × 292,660,436
  4. Step 4: Simplify right side
    124,151,840x = 85,650,130,799,710,096
  5. Step 5: Solve for x
    x = 85,650,130,799,710,096/124,151,840
  6. Step 6: Final answer
    x = 689,882,089.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.