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Finding the Third Proportional to 130,055,884.50 and 213,506,305.50

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Solution

The third proportional to 130,055,884.50 and 213,506,305.50 is: 350,502,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,055,884.50 : 213,506,305.50 = 213,506,305.50 : x
  2. Step 2: Convert to fraction form
    130,055,884.50/213,506,305.50 = 213,506,305.50/x
  3. Step 3: Cross multiply
    130,055,884.50x = 213,506,305.50 × 213,506,305.50
  4. Step 4: Simplify right side
    130,055,884.50x = 45,584,942,488,259,328
  5. Step 5: Solve for x
    x = 45,584,942,488,259,328/130,055,884.50
  6. Step 6: Final answer
    x = 350,502,729.37

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.