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Finding the Third Proportional to 130,966,263 and 218,263,951

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Solution

The third proportional to 130,966,263 and 218,263,951 is: 363,751,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,966,263 : 218,263,951 = 218,263,951 : x
  2. Step 2: Convert to fraction form
    130,966,263/218,263,951 = 218,263,951/x
  3. Step 3: Cross multiply
    130,966,263x = 218,263,951 × 218,263,951
  4. Step 4: Simplify right side
    130,966,263x = 47,639,152,306,130,400
  5. Step 5: Solve for x
    x = 47,639,152,306,130,400/130,966,263
  6. Step 6: Final answer
    x = 363,751,329.65

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.