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Finding the Third Proportional to 82,862,700 and 125,445,666

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Solution

The third proportional to 82,862,700 and 125,445,666 is: 189,911,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862,700 : 125,445,666 = 125,445,666 : x
  2. Step 2: Convert to fraction form
    82,862,700/125,445,666 = 125,445,666/x
  3. Step 3: Cross multiply
    82,862,700x = 125,445,666 × 125,445,666
  4. Step 4: Simplify right side
    82,862,700x = 15,736,615,118,183,556
  5. Step 5: Solve for x
    x = 15,736,615,118,183,556/82,862,700
  6. Step 6: Final answer
    x = 189,911,928.02

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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.