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Finding the Third Proportional to 98,153,572.50 and 212,665,115.25

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Solution

The third proportional to 98,153,572.50 and 212,665,115.25 is: 460,772,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,153,572.50 : 212,665,115.25 = 212,665,115.25 : x
  2. Step 2: Convert to fraction form
    98,153,572.50/212,665,115.25 = 212,665,115.25/x
  3. Step 3: Cross multiply
    98,153,572.50x = 212,665,115.25 × 212,665,115.25
  4. Step 4: Simplify right side
    98,153,572.50x = 45,226,451,244,295,784
  5. Step 5: Solve for x
    x = 45,226,451,244,295,784/98,153,572.50
  6. Step 6: Final answer
    x = 460,772,339.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.