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Finding the Third Proportional to 145,135,488 and 313,359,214

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Solution

The third proportional to 145,135,488 and 313,359,214 is: 676,567,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,135,488 : 313,359,214 = 313,359,214 : x
  2. Step 2: Convert to fraction form
    145,135,488/313,359,214 = 313,359,214/x
  3. Step 3: Cross multiply
    145,135,488x = 313,359,214 × 313,359,214
  4. Step 4: Simplify right side
    145,135,488x = 98,193,996,998,697,792
  5. Step 5: Solve for x
    x = 98,193,996,998,697,792/145,135,488
  6. Step 6: Final answer
    x = 676,567,794.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.