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Finding the Third Proportional to 121,025,739 and 181,662,538.50

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Solution

The third proportional to 121,025,739 and 181,662,538.50 is: 272,679,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,025,739 : 181,662,538.50 = 181,662,538.50 : x
  2. Step 2: Convert to fraction form
    121,025,739/181,662,538.50 = 181,662,538.50/x
  3. Step 3: Cross multiply
    121,025,739x = 181,662,538.50 × 181,662,538.50
  4. Step 4: Simplify right side
    121,025,739x = 33,001,277,894,263,984
  5. Step 5: Solve for x
    x = 33,001,277,894,263,984/121,025,739
  6. Step 6: Final answer
    x = 272,679,829.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.