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Finding the Third Proportional to 97,417.69 and 152,277.47

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Solution

The third proportional to 97,417.69 and 152,277.47 is: 238,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,417.69 : 152,277.47 = 152,277.47 : x
  2. Step 2: Convert to fraction form
    97,417.69/152,277.47 = 152,277.47/x
  3. Step 3: Cross multiply
    97,417.69x = 152,277.47 × 152,277.47
  4. Step 4: Simplify right side
    97,417.69x = 23,188,427,488.91
  5. Step 5: Solve for x
    x = 23,188,427,488.91/97,417.69
  6. Step 6: Final answer
    x = 238,030.98

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.