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Finding the Third Proportional to 125,514,200 and 271,875,370

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Solution

The third proportional to 125,514,200 and 271,875,370 is: 588,907,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,514,200 : 271,875,370 = 271,875,370 : x
  2. Step 2: Convert to fraction form
    125,514,200/271,875,370 = 271,875,370/x
  3. Step 3: Cross multiply
    125,514,200x = 271,875,370 × 271,875,370
  4. Step 4: Simplify right side
    125,514,200x = 73,916,216,812,636,896
  5. Step 5: Solve for x
    x = 73,916,216,812,636,896/125,514,200
  6. Step 6: Final answer
    x = 588,907,205.82

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Why These Related Problems?

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