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Finding the Third Proportional to 240,658,021.05 and 527,451,763.92

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Solution

The third proportional to 240,658,021.05 and 527,451,763.92 is: 1,156,019,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,658,021.05 : 527,451,763.92 = 527,451,763.92 : x
  2. Step 2: Convert to fraction form
    240,658,021.05/527,451,763.92 = 527,451,763.92/x
  3. Step 3: Cross multiply
    240,658,021.05x = 527,451,763.92 × 527,451,763.92
  4. Step 4: Simplify right side
    240,658,021.05x = 278,205,363,264,323,712
  5. Step 5: Solve for x
    x = 278,205,363,264,323,712/240,658,021.05
  6. Step 6: Final answer
    x = 1,156,019,492.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.