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Finding the Third Proportional to 137,020,321.88 and 323,343,439.88

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Solution

The third proportional to 137,020,321.88 and 323,343,439.88 is: 763,032,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020,321.88 : 323,343,439.88 = 323,343,439.88 : x
  2. Step 2: Convert to fraction form
    137,020,321.88/323,343,439.88 = 323,343,439.88/x
  3. Step 3: Cross multiply
    137,020,321.88x = 323,343,439.88 × 323,343,439.88
  4. Step 4: Simplify right side
    137,020,321.88x = 104,550,980,110,197,744
  5. Step 5: Solve for x
    x = 104,550,980,110,197,744/137,020,321.88
  6. Step 6: Final answer
    x = 763,032,655.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.