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Finding the Third Proportional to 153,572,557.50 and 217,300,468.50

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Solution

The third proportional to 153,572,557.50 and 217,300,468.50 is: 307,473,512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,572,557.50 : 217,300,468.50 = 217,300,468.50 : x
  2. Step 2: Convert to fraction form
    153,572,557.50/217,300,468.50 = 217,300,468.50/x
  3. Step 3: Cross multiply
    153,572,557.50x = 217,300,468.50 × 217,300,468.50
  4. Step 4: Simplify right side
    153,572,557.50x = 47,219,493,610,319,496
  5. Step 5: Solve for x
    x = 47,219,493,610,319,496/153,572,557.50
  6. Step 6: Final answer
    x = 307,473,512.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.