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Finding the Third Proportional to 153,350,818.50 and 330,085,042.50

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Solution

The third proportional to 153,350,818.50 and 330,085,042.50 is: 710,502,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,350,818.50 : 330,085,042.50 = 330,085,042.50 : x
  2. Step 2: Convert to fraction form
    153,350,818.50/330,085,042.50 = 330,085,042.50/x
  3. Step 3: Cross multiply
    153,350,818.50x = 330,085,042.50 × 330,085,042.50
  4. Step 4: Simplify right side
    153,350,818.50x = 108,956,135,282,226,800
  5. Step 5: Solve for x
    x = 108,956,135,282,226,800/153,350,818.50
  6. Step 6: Final answer
    x = 710,502,469.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.