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Finding the Third Proportional to 73,637,496 and 160,203,750

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Solution

The third proportional to 73,637,496 and 160,203,750 is: 348,534,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,637,496 : 160,203,750 = 160,203,750 : x
  2. Step 2: Convert to fraction form
    73,637,496/160,203,750 = 160,203,750/x
  3. Step 3: Cross multiply
    73,637,496x = 160,203,750 × 160,203,750
  4. Step 4: Simplify right side
    73,637,496x = 25,665,241,514,062,500
  5. Step 5: Solve for x
    x = 25,665,241,514,062,500/73,637,496
  6. Step 6: Final answer
    x = 348,534,957.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.