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Finding the Third Proportional to 59,872,873.50 and 128,690,023.50

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Solution

The third proportional to 59,872,873.50 and 128,690,023.50 is: 276,604,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,872,873.50 : 128,690,023.50 = 128,690,023.50 : x
  2. Step 2: Convert to fraction form
    59,872,873.50/128,690,023.50 = 128,690,023.50/x
  3. Step 3: Cross multiply
    59,872,873.50x = 128,690,023.50 × 128,690,023.50
  4. Step 4: Simplify right side
    59,872,873.50x = 16,561,122,148,430,552
  5. Step 5: Solve for x
    x = 16,561,122,148,430,552/59,872,873.50
  6. Step 6: Final answer
    x = 276,604,765.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.