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Finding the Third Proportional to 82,766,656 and 179,859,200

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Solution

The third proportional to 82,766,656 and 179,859,200 is: 390,849,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,766,656 : 179,859,200 = 179,859,200 : x
  2. Step 2: Convert to fraction form
    82,766,656/179,859,200 = 179,859,200/x
  3. Step 3: Cross multiply
    82,766,656x = 179,859,200 × 179,859,200
  4. Step 4: Simplify right side
    82,766,656x = 32,349,331,824,640,000
  5. Step 5: Solve for x
    x = 32,349,331,824,640,000/82,766,656
  6. Step 6: Final answer
    x = 390,849,810.64

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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.