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Finding the Third Proportional to 130,230,128 and 271,177,643

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Solution

The third proportional to 130,230,128 and 271,177,643 is: 564,672,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,230,128 : 271,177,643 = 271,177,643 : x
  2. Step 2: Convert to fraction form
    130,230,128/271,177,643 = 271,177,643/x
  3. Step 3: Cross multiply
    130,230,128x = 271,177,643 × 271,177,643
  4. Step 4: Simplify right side
    130,230,128x = 73,537,314,063,035,456
  5. Step 5: Solve for x
    x = 73,537,314,063,035,456/130,230,128
  6. Step 6: Final answer
    x = 564,672,055.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.