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Finding the Third Proportional to 125,137,406.25 and 183,226,394.25

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Solution

The third proportional to 125,137,406.25 and 183,226,394.25 is: 268,280,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,137,406.25 : 183,226,394.25 = 183,226,394.25 : x
  2. Step 2: Convert to fraction form
    125,137,406.25/183,226,394.25 = 183,226,394.25/x
  3. Step 3: Cross multiply
    125,137,406.25x = 183,226,394.25 × 183,226,394.25
  4. Step 4: Simplify right side
    125,137,406.25x = 33,571,911,549,856,432
  5. Step 5: Solve for x
    x = 33,571,911,549,856,432/125,137,406.25
  6. Step 6: Final answer
    x = 268,280,385.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.