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Finding the Third Proportional to 169,502,024.25 and 363,217,810.50

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Solution

The third proportional to 169,502,024.25 and 363,217,810.50 is: 778,322,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,502,024.25 : 363,217,810.50 = 363,217,810.50 : x
  2. Step 2: Convert to fraction form
    169,502,024.25/363,217,810.50 = 363,217,810.50/x
  3. Step 3: Cross multiply
    169,502,024.25x = 363,217,810.50 × 363,217,810.50
  4. Step 4: Simplify right side
    169,502,024.25x = 131,927,177,864,413,904
  5. Step 5: Solve for x
    x = 131,927,177,864,413,904/169,502,024.25
  6. Step 6: Final answer
    x = 778,322,137.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.