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Finding the Third Proportional to 112,180,924 and 172,323,630

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Solution

The third proportional to 112,180,924 and 172,323,630 is: 264,710,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,180,924 : 172,323,630 = 172,323,630 : x
  2. Step 2: Convert to fraction form
    112,180,924/172,323,630 = 172,323,630/x
  3. Step 3: Cross multiply
    112,180,924x = 172,323,630 × 172,323,630
  4. Step 4: Simplify right side
    112,180,924x = 29,695,433,456,376,900
  5. Step 5: Solve for x
    x = 29,695,433,456,376,900/112,180,924
  6. Step 6: Final answer
    x = 264,710,187.77

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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.