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Finding the Third Proportional to 153,017,256 and 332,013,877.50

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Solution

The third proportional to 153,017,256 and 332,013,877.50 is: 720,397,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,017,256 : 332,013,877.50 = 332,013,877.50 : x
  2. Step 2: Convert to fraction form
    153,017,256/332,013,877.50 = 332,013,877.50/x
  3. Step 3: Cross multiply
    153,017,256x = 332,013,877.50 × 332,013,877.50
  4. Step 4: Simplify right side
    153,017,256x = 110,233,214,852,585,008
  5. Step 5: Solve for x
    x = 110,233,214,852,585,008/153,017,256
  6. Step 6: Final answer
    x = 720,397,278.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.