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Finding the Third Proportional to 179,971,868.67 and 268,778,462.63

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Solution

The third proportional to 179,971,868.67 and 268,778,462.63 is: 401,406,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,971,868.67 : 268,778,462.63 = 268,778,462.63 : x
  2. Step 2: Convert to fraction form
    179,971,868.67/268,778,462.63 = 268,778,462.63/x
  3. Step 3: Cross multiply
    179,971,868.67x = 268,778,462.63 × 268,778,462.63
  4. Step 4: Simplify right side
    179,971,868.67x = 72,241,861,971,058,528
  5. Step 5: Solve for x
    x = 72,241,861,971,058,528/179,971,868.67
  6. Step 6: Final answer
    x = 401,406,411.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.