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Finding the Third Proportional to 125,244,648 and 201,330,117

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Solution

The third proportional to 125,244,648 and 201,330,117 is: 323,637,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,244,648 : 201,330,117 = 201,330,117 : x
  2. Step 2: Convert to fraction form
    125,244,648/201,330,117 = 201,330,117/x
  3. Step 3: Cross multiply
    125,244,648x = 201,330,117 × 201,330,117
  4. Step 4: Simplify right side
    125,244,648x = 40,533,816,011,233,688
  5. Step 5: Solve for x
    x = 40,533,816,011,233,688/125,244,648
  6. Step 6: Final answer
    x = 323,637,110.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.