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Finding the Third Proportional to 206,835,730 and 307,323,358

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Solution

The third proportional to 206,835,730 and 307,323,358 is: 456,631,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835,730 : 307,323,358 = 307,323,358 : x
  2. Step 2: Convert to fraction form
    206,835,730/307,323,358 = 307,323,358/x
  3. Step 3: Cross multiply
    206,835,730x = 307,323,358 × 307,323,358
  4. Step 4: Simplify right side
    206,835,730x = 94,447,646,372,396,160
  5. Step 5: Solve for x
    x = 94,447,646,372,396,160/206,835,730
  6. Step 6: Final answer
    x = 456,631,194.10

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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.