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Finding the Third Proportional to 76,599,923.50 and 163,849,424

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Solution

The third proportional to 76,599,923.50 and 163,849,424 is: 350,478,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,599,923.50 : 163,849,424 = 163,849,424 : x
  2. Step 2: Convert to fraction form
    76,599,923.50/163,849,424 = 163,849,424/x
  3. Step 3: Cross multiply
    76,599,923.50x = 163,849,424 × 163,849,424
  4. Step 4: Simplify right side
    76,599,923.50x = 26,846,633,745,131,776
  5. Step 5: Solve for x
    x = 26,846,633,745,131,776/76,599,923.50
  6. Step 6: Final answer
    x = 350,478,597.35

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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.