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Finding the Third Proportional to 116,338,298 and 180,386,538

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Solution

The third proportional to 116,338,298 and 180,386,538 is: 279,695,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,338,298 : 180,386,538 = 180,386,538 : x
  2. Step 2: Convert to fraction form
    116,338,298/180,386,538 = 180,386,538/x
  3. Step 3: Cross multiply
    116,338,298x = 180,386,538 × 180,386,538
  4. Step 4: Simplify right side
    116,338,298x = 32,539,303,091,625,444
  5. Step 5: Solve for x
    x = 32,539,303,091,625,444/116,338,298
  6. Step 6: Final answer
    x = 279,695,540.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.