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Finding the Third Proportional to 130,966,260 and 218,263,945.50

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Solution

The third proportional to 130,966,260 and 218,263,945.50 is: 363,751,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,966,260 : 218,263,945.50 = 218,263,945.50 : x
  2. Step 2: Convert to fraction form
    130,966,260/218,263,945.50 = 218,263,945.50/x
  3. Step 3: Cross multiply
    130,966,260x = 218,263,945.50 × 218,263,945.50
  4. Step 4: Simplify right side
    130,966,260x = 47,639,149,905,226,968
  5. Step 5: Solve for x
    x = 47,639,149,905,226,968/130,966,260
  6. Step 6: Final answer
    x = 363,751,319.65

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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.