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Finding the Third Proportional to 63,649,318.43 and 97,323,873.05

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Solution

The third proportional to 63,649,318.43 and 97,323,873.05 is: 148,814,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,649,318.43 : 97,323,873.05 = 97,323,873.05 : x
  2. Step 2: Convert to fraction form
    63,649,318.43/97,323,873.05 = 97,323,873.05/x
  3. Step 3: Cross multiply
    63,649,318.43x = 97,323,873.05 × 97,323,873.05
  4. Step 4: Simplify right side
    63,649,318.43x = 9,471,936,264,844,242
  5. Step 5: Solve for x
    x = 9,471,936,264,844,242/63,649,318.43
  6. Step 6: Final answer
    x = 148,814,417.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.