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Finding the Third Proportional to 112,181,052 and 172,323,831

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Solution

The third proportional to 112,181,052 and 172,323,831 is: 264,710,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,181,052 : 172,323,831 = 172,323,831 : x
  2. Step 2: Convert to fraction form
    112,181,052/172,323,831 = 172,323,831/x
  3. Step 3: Cross multiply
    112,181,052x = 172,323,831 × 172,323,831
  4. Step 4: Simplify right side
    112,181,052x = 29,695,502,730,516,560
  5. Step 5: Solve for x
    x = 29,695,502,730,516,560/112,181,052
  6. Step 6: Final answer
    x = 264,710,503.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.