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Finding the Third Proportional to 134,198,920.50 and 293,518,207.50

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Solution

The third proportional to 134,198,920.50 and 293,518,207.50 is: 641,979,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,198,920.50 : 293,518,207.50 = 293,518,207.50 : x
  2. Step 2: Convert to fraction form
    134,198,920.50/293,518,207.50 = 293,518,207.50/x
  3. Step 3: Cross multiply
    134,198,920.50x = 293,518,207.50 × 293,518,207.50
  4. Step 4: Simplify right side
    134,198,920.50x = 86,152,938,134,013,056
  5. Step 5: Solve for x
    x = 86,152,938,134,013,056/134,198,920.50
  6. Step 6: Final answer
    x = 641,979,367.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.