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Finding the Third Proportional to 182,516,535 and 278,371,878

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Solution

The third proportional to 182,516,535 and 278,371,878 is: 424,569,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,516,535 : 278,371,878 = 278,371,878 : x
  2. Step 2: Convert to fraction form
    182,516,535/278,371,878 = 278,371,878/x
  3. Step 3: Cross multiply
    182,516,535x = 278,371,878 × 278,371,878
  4. Step 4: Simplify right side
    182,516,535x = 77,490,902,461,246,880
  5. Step 5: Solve for x
    x = 77,490,902,461,246,880/182,516,535
  6. Step 6: Final answer
    x = 424,569,217.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.