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Finding the Third Proportional to 52,465,643.50 and 112,301,463

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Solution

The third proportional to 52,465,643.50 and 112,301,463 is: 240,378,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,465,643.50 : 112,301,463 = 112,301,463 : x
  2. Step 2: Convert to fraction form
    52,465,643.50/112,301,463 = 112,301,463/x
  3. Step 3: Cross multiply
    52,465,643.50x = 112,301,463 × 112,301,463
  4. Step 4: Simplify right side
    52,465,643.50x = 12,611,618,591,940,368
  5. Step 5: Solve for x
    x = 12,611,618,591,940,368/52,465,643.50
  6. Step 6: Final answer
    x = 240,378,612.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.