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Finding the Third Proportional to 153,017,243.16 and 332,013,852.84

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Solution

The third proportional to 153,017,243.16 and 332,013,852.84 is: 720,397,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,017,243.16 : 332,013,852.84 = 332,013,852.84 : x
  2. Step 2: Convert to fraction form
    153,017,243.16/332,013,852.84 = 332,013,852.84/x
  3. Step 3: Cross multiply
    153,017,243.16x = 332,013,852.84 × 332,013,852.84
  4. Step 4: Simplify right side
    153,017,243.16x = 110,233,198,480,151,280
  5. Step 5: Solve for x
    x = 110,233,198,480,151,280/153,017,243.16
  6. Step 6: Final answer
    x = 720,397,232.41

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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.