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Finding the Third Proportional to 138,547.13 and 299,197.13

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Solution

The third proportional to 138,547.13 and 299,197.13 is: 646,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,547.13 : 299,197.13 = 299,197.13 : x
  2. Step 2: Convert to fraction form
    138,547.13/299,197.13 = 299,197.13/x
  3. Step 3: Cross multiply
    138,547.13x = 299,197.13 × 299,197.13
  4. Step 4: Simplify right side
    138,547.13x = 89,518,919,608.27
  5. Step 5: Solve for x
    x = 89,518,919,608.27/138,547.13
  6. Step 6: Final answer
    x = 646,126.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.