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Finding the Third Proportional to 97,372.13 and 215,875.13

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Solution

The third proportional to 97,372.13 and 215,875.13 is: 478,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,372.13 : 215,875.13 = 215,875.13 : x
  2. Step 2: Convert to fraction form
    97,372.13/215,875.13 = 215,875.13/x
  3. Step 3: Cross multiply
    97,372.13x = 215,875.13 × 215,875.13
  4. Step 4: Simplify right side
    97,372.13x = 46,602,069,593.77
  5. Step 5: Solve for x
    x = 46,602,069,593.77/97,372.13
  6. Step 6: Final answer
    x = 478,597.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.