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Finding the Third Proportional to 65,596,621.50 and 151,860,251.25

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Solution

The third proportional to 65,596,621.50 and 151,860,251.25 is: 351,565,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,596,621.50 : 151,860,251.25 = 151,860,251.25 : x
  2. Step 2: Convert to fraction form
    65,596,621.50/151,860,251.25 = 151,860,251.25/x
  3. Step 3: Cross multiply
    65,596,621.50x = 151,860,251.25 × 151,860,251.25
  4. Step 4: Simplify right side
    65,596,621.50x = 23,061,535,909,713,128
  5. Step 5: Solve for x
    x = 23,061,535,909,713,128/65,596,621.50
  6. Step 6: Final answer
    x = 351,565,909.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.