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Finding the Third Proportional to 132,550,914 and 278,838,105

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Solution

The third proportional to 132,550,914 and 278,838,105 is: 586,572,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,550,914 : 278,838,105 = 278,838,105 : x
  2. Step 2: Convert to fraction form
    132,550,914/278,838,105 = 278,838,105/x
  3. Step 3: Cross multiply
    132,550,914x = 278,838,105 × 278,838,105
  4. Step 4: Simplify right side
    132,550,914x = 77,750,688,799,991,024
  5. Step 5: Solve for x
    x = 77,750,688,799,991,024/132,550,914
  6. Step 6: Final answer
    x = 586,572,257.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.