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Finding the Third Proportional to 82,862,697 and 125,445,661.50

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Solution

The third proportional to 82,862,697 and 125,445,661.50 is: 189,911,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862,697 : 125,445,661.50 = 125,445,661.50 : x
  2. Step 2: Convert to fraction form
    82,862,697/125,445,661.50 = 125,445,661.50/x
  3. Step 3: Cross multiply
    82,862,697x = 125,445,661.50 × 125,445,661.50
  4. Step 4: Simplify right side
    82,862,697x = 15,736,613,989,172,582
  5. Step 5: Solve for x
    x = 15,736,613,989,172,582/82,862,697
  6. Step 6: Final answer
    x = 189,911,921.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.