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Finding the Third Proportional to 169,774,953.75 and 363,752,626.50

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Solution

The third proportional to 169,774,953.75 and 363,752,626.50 is: 779,360,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,774,953.75 : 363,752,626.50 = 363,752,626.50 : x
  2. Step 2: Convert to fraction form
    169,774,953.75/363,752,626.50 = 363,752,626.50/x
  3. Step 3: Cross multiply
    169,774,953.75x = 363,752,626.50 × 363,752,626.50
  4. Step 4: Simplify right side
    169,774,953.75x = 132,315,973,285,648,496
  5. Step 5: Solve for x
    x = 132,315,973,285,648,496/169,774,953.75
  6. Step 6: Final answer
    x = 779,360,973.82

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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.