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Finding the Third Proportional to 64,884,143.81 and 97,339,132.69

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Solution

The third proportional to 64,884,143.81 and 97,339,132.69 is: 146,028,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,884,143.81 : 97,339,132.69 = 97,339,132.69 : x
  2. Step 2: Convert to fraction form
    64,884,143.81/97,339,132.69 = 97,339,132.69/x
  3. Step 3: Cross multiply
    64,884,143.81x = 97,339,132.69 × 97,339,132.69
  4. Step 4: Simplify right side
    64,884,143.81x = 9,474,906,752,354,730
  5. Step 5: Solve for x
    x = 9,474,906,752,354,730/64,884,143.81
  6. Step 6: Final answer
    x = 146,028,077.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.