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Finding the Third Proportional to 206,835,726 and 307,323,351

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Solution

The third proportional to 206,835,726 and 307,323,351 is: 456,631,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835,726 : 307,323,351 = 307,323,351 : x
  2. Step 2: Convert to fraction form
    206,835,726/307,323,351 = 307,323,351/x
  3. Step 3: Cross multiply
    206,835,726x = 307,323,351 × 307,323,351
  4. Step 4: Simplify right side
    206,835,726x = 94,447,642,069,869,200
  5. Step 5: Solve for x
    x = 94,447,642,069,869,200/206,835,726
  6. Step 6: Final answer
    x = 456,631,182.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.