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Finding the Third Proportional to 130,466,151 and 182,496,624.75

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Solution

The third proportional to 130,466,151 and 182,496,624.75 is: 255,277,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,466,151 : 182,496,624.75 = 182,496,624.75 : x
  2. Step 2: Convert to fraction form
    130,466,151/182,496,624.75 = 182,496,624.75/x
  3. Step 3: Cross multiply
    130,466,151x = 182,496,624.75 × 182,496,624.75
  4. Step 4: Simplify right side
    130,466,151x = 33,305,018,045,142,312
  5. Step 5: Solve for x
    x = 33,305,018,045,142,312/130,466,151
  6. Step 6: Final answer
    x = 255,277,079.84

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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.