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Finding the Third Proportional to 178,546,337,701.50 and 385,495,517,535

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Solution

The third proportional to 178,546,337,701.50 and 385,495,517,535 is: 832,314,994,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,546,337,701.50 : 385,495,517,535 = 385,495,517,535 : x
  2. Step 2: Convert to fraction form
    178,546,337,701.50/385,495,517,535 = 385,495,517,535/x
  3. Step 3: Cross multiply
    178,546,337,701.50x = 385,495,517,535 × 385,495,517,535
  4. Step 4: Simplify right side
    178,546,337,701.50x = 148,606,794,039,577,488,130,048
  5. Step 5: Solve for x
    x = 148,606,794,039,577,488,130,048/178,546,337,701.50
  6. Step 6: Final answer
    x = 832,314,994,262.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.