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Finding the Third Proportional to 99,525,371,222.25 and 219,337,182,423

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Solution

The third proportional to 99,525,371,222.25 and 219,337,182,423 is: 483,382,267,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,525,371,222.25 : 219,337,182,423 = 219,337,182,423 : x
  2. Step 2: Convert to fraction form
    99,525,371,222.25/219,337,182,423 = 219,337,182,423/x
  3. Step 3: Cross multiply
    99,525,371,222.25x = 219,337,182,423 × 219,337,182,423
  4. Step 4: Simplify right side
    99,525,371,222.25x = 48,108,799,593,260,381,110,272
  5. Step 5: Solve for x
    x = 48,108,799,593,260,381,110,272/99,525,371,222.25
  6. Step 6: Final answer
    x = 483,382,267,279.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.