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Finding the Third Proportional to 153,017,265.75 and 332,013,896.63

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Solution

The third proportional to 153,017,265.75 and 332,013,896.63 is: 720,397,316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,017,265.75 : 332,013,896.63 = 332,013,896.63 : x
  2. Step 2: Convert to fraction form
    153,017,265.75/332,013,896.63 = 332,013,896.63/x
  3. Step 3: Cross multiply
    153,017,265.75x = 332,013,896.63 × 332,013,896.63
  4. Step 4: Simplify right side
    153,017,265.75x = 110,233,227,552,116,192
  5. Step 5: Solve for x
    x = 110,233,227,552,116,192/153,017,265.75
  6. Step 6: Final answer
    x = 720,397,316.03

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