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Finding the Third Proportional to 152,716,161.38 and 323,756,876.81

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Solution

The third proportional to 152,716,161.38 and 323,756,876.81 is: 686,361,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,716,161.38 : 323,756,876.81 = 323,756,876.81 : x
  2. Step 2: Convert to fraction form
    152,716,161.38/323,756,876.81 = 323,756,876.81/x
  3. Step 3: Cross multiply
    152,716,161.38x = 323,756,876.81 × 323,756,876.81
  4. Step 4: Simplify right side
    152,716,161.38x = 104,818,515,283,384,304
  5. Step 5: Solve for x
    x = 104,818,515,283,384,304/152,716,161.38
  6. Step 6: Final answer
    x = 686,361,642.01

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.