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Finding the Third Proportional to 185,046,280.31 and 406,408,784.06

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Solution

The third proportional to 185,046,280.31 and 406,408,784.06 is: 892,577,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,046,280.31 : 406,408,784.06 = 406,408,784.06 : x
  2. Step 2: Convert to fraction form
    185,046,280.31/406,408,784.06 = 406,408,784.06/x
  3. Step 3: Cross multiply
    185,046,280.31x = 406,408,784.06 × 406,408,784.06
  4. Step 4: Simplify right side
    185,046,280.31x = 165,168,099,763,159,744
  5. Step 5: Solve for x
    x = 165,168,099,763,159,744/185,046,280.31
  6. Step 6: Final answer
    x = 892,577,248.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.