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Finding the Third Proportional to 105,719,882 and 229,078,190

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Solution

The third proportional to 105,719,882 and 229,078,190 is: 496,376,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,719,882 : 229,078,190 = 229,078,190 : x
  2. Step 2: Convert to fraction form
    105,719,882/229,078,190 = 229,078,190/x
  3. Step 3: Cross multiply
    105,719,882x = 229,078,190 × 229,078,190
  4. Step 4: Simplify right side
    105,719,882x = 52,476,817,133,676,096
  5. Step 5: Solve for x
    x = 52,476,817,133,676,096/105,719,882
  6. Step 6: Final answer
    x = 496,376,047.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.