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Finding the Third Proportional to 105,864,597 and 229,316,580

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Solution

The third proportional to 105,864,597 and 229,316,580 is: 496,729,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864,597 : 229,316,580 = 229,316,580 : x
  2. Step 2: Convert to fraction form
    105,864,597/229,316,580 = 229,316,580/x
  3. Step 3: Cross multiply
    105,864,597x = 229,316,580 × 229,316,580
  4. Step 4: Simplify right side
    105,864,597x = 52,586,093,862,896,400
  5. Step 5: Solve for x
    x = 52,586,093,862,896,400/105,864,597
  6. Step 6: Final answer
    x = 496,729,741.13

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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.