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Finding the Third Proportional to 106,409,143.13 and 229,227,347.25

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Solution

The third proportional to 106,409,143.13 and 229,227,347.25 is: 493,803,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,409,143.13 : 229,227,347.25 = 229,227,347.25 : x
  2. Step 2: Convert to fraction form
    106,409,143.13/229,227,347.25 = 229,227,347.25/x
  3. Step 3: Cross multiply
    106,409,143.13x = 229,227,347.25 × 229,227,347.25
  4. Step 4: Simplify right side
    106,409,143.13x = 52,545,176,727,272,080
  5. Step 5: Solve for x
    x = 52,545,176,727,272,080/106,409,143.13
  6. Step 6: Final answer
    x = 493,803,212.62

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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.