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Finding the Third Proportional to 145,102.50 and 316,108.13

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Solution

The third proportional to 145,102.50 and 316,108.13 is: 688,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,102.50 : 316,108.13 = 316,108.13 : x
  2. Step 2: Convert to fraction form
    145,102.50/316,108.13 = 316,108.13/x
  3. Step 3: Cross multiply
    145,102.50x = 316,108.13 × 316,108.13
  4. Step 4: Simplify right side
    145,102.50x = 99,924,346,691.02
  5. Step 5: Solve for x
    x = 99,924,346,691.02/145,102.50
  6. Step 6: Final answer
    x = 688,646.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.