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Finding the Third Proportional to 130,466,232 and 182,496,754.13

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Solution

The third proportional to 130,466,232 and 182,496,754.13 is: 255,277,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,466,232 : 182,496,754.13 = 182,496,754.13 : x
  2. Step 2: Convert to fraction form
    130,466,232/182,496,754.13 = 182,496,754.13/x
  3. Step 3: Cross multiply
    130,466,232x = 182,496,754.13 × 182,496,754.13
  4. Step 4: Simplify right side
    130,466,232x = 33,305,065,266,160,704
  5. Step 5: Solve for x
    x = 33,305,065,266,160,704/130,466,232
  6. Step 6: Final answer
    x = 255,277,283.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.