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Finding the Third Proportional to 206,293,258 and 312,097,443

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Solution

The third proportional to 206,293,258 and 312,097,443 is: 472,166,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,293,258 : 312,097,443 = 312,097,443 : x
  2. Step 2: Convert to fraction form
    206,293,258/312,097,443 = 312,097,443/x
  3. Step 3: Cross multiply
    206,293,258x = 312,097,443 × 312,097,443
  4. Step 4: Simplify right side
    206,293,258x = 97,404,813,927,138,256
  5. Step 5: Solve for x
    x = 97,404,813,927,138,256/206,293,258
  6. Step 6: Final answer
    x = 472,166,734.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.