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Finding the Third Proportional to 127,746,396 and 191,407,072

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Solution

The third proportional to 127,746,396 and 191,407,072 is: 286,792,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,746,396 : 191,407,072 = 191,407,072 : x
  2. Step 2: Convert to fraction form
    127,746,396/191,407,072 = 191,407,072/x
  3. Step 3: Cross multiply
    127,746,396x = 191,407,072 × 191,407,072
  4. Step 4: Simplify right side
    127,746,396x = 36,636,667,211,613,184
  5. Step 5: Solve for x
    x = 36,636,667,211,613,184/127,746,396
  6. Step 6: Final answer
    x = 286,792,178.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.