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Finding the Third Proportional to 97,853 and 151,514.50

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Solution

The third proportional to 97,853 and 151,514.50 is: 234,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,853 : 151,514.50 = 151,514.50 : x
  2. Step 2: Convert to fraction form
    97,853/151,514.50 = 151,514.50/x
  3. Step 3: Cross multiply
    97,853x = 151,514.50 × 151,514.50
  4. Step 4: Simplify right side
    97,853x = 22,956,643,710.25
  5. Step 5: Solve for x
    x = 22,956,643,710.25/97,853
  6. Step 6: Final answer
    x = 234,603.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.