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Finding the Third Proportional to 67,298,746.50 and 146,083,207.50

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Solution

The third proportional to 67,298,746.50 and 146,083,207.50 is: 317,098,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298,746.50 : 146,083,207.50 = 146,083,207.50 : x
  2. Step 2: Convert to fraction form
    67,298,746.50/146,083,207.50 = 146,083,207.50/x
  3. Step 3: Cross multiply
    67,298,746.50x = 146,083,207.50 × 146,083,207.50
  4. Step 4: Simplify right side
    67,298,746.50x = 21,340,303,513,488,056
  5. Step 5: Solve for x
    x = 21,340,303,513,488,056/67,298,746.50
  6. Step 6: Final answer
    x = 317,098,083.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.