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Finding the Third Proportional to 106,397,572 and 229,208,499

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Solution

The third proportional to 106,397,572 and 229,208,499 is: 493,775,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,397,572 : 229,208,499 = 229,208,499 : x
  2. Step 2: Convert to fraction form
    106,397,572/229,208,499 = 229,208,499/x
  3. Step 3: Cross multiply
    106,397,572x = 229,208,499 × 229,208,499
  4. Step 4: Simplify right side
    106,397,572x = 52,536,536,013,833,000
  5. Step 5: Solve for x
    x = 52,536,536,013,833,000/106,397,572
  6. Step 6: Final answer
    x = 493,775,703.96

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