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Finding the Third Proportional to 48,217,202.25 and 72,774,206.25

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Solution

The third proportional to 48,217,202.25 and 72,774,206.25 is: 109,838,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,217,202.25 : 72,774,206.25 = 72,774,206.25 : x
  2. Step 2: Convert to fraction form
    48,217,202.25/72,774,206.25 = 72,774,206.25/x
  3. Step 3: Cross multiply
    48,217,202.25x = 72,774,206.25 × 72,774,206.25
  4. Step 4: Simplify right side
    48,217,202.25x = 5,296,085,095,317,539
  5. Step 5: Solve for x
    x = 5,296,085,095,317,539/48,217,202.25
  6. Step 6: Final answer
    x = 109,838,083.68

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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.