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Finding the Third Proportional to 125,598,114 and 266,109,745.50

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Solution

The third proportional to 125,598,114 and 266,109,745.50 is: 563,817,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,598,114 : 266,109,745.50 = 266,109,745.50 : x
  2. Step 2: Convert to fraction form
    125,598,114/266,109,745.50 = 266,109,745.50/x
  3. Step 3: Cross multiply
    125,598,114x = 266,109,745.50 × 266,109,745.50
  4. Step 4: Simplify right side
    125,598,114x = 70,814,396,650,074,768
  5. Step 5: Solve for x
    x = 70,814,396,650,074,768/125,598,114
  6. Step 6: Final answer
    x = 563,817,356.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.