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Finding the Third Proportional to 82,043,077.50 and 177,706,801.13

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Solution

The third proportional to 82,043,077.50 and 177,706,801.13 is: 384,916,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,043,077.50 : 177,706,801.13 = 177,706,801.13 : x
  2. Step 2: Convert to fraction form
    82,043,077.50/177,706,801.13 = 177,706,801.13/x
  3. Step 3: Cross multiply
    82,043,077.50x = 177,706,801.13 × 177,706,801.13
  4. Step 4: Simplify right side
    82,043,077.50x = 31,579,707,166,080,300
  5. Step 5: Solve for x
    x = 31,579,707,166,080,300/82,043,077.50
  6. Step 6: Final answer
    x = 384,916,170.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.