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Finding the Third Proportional to 200,361,510 and 306,501,157

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Solution

The third proportional to 200,361,510 and 306,501,157 is: 468,867,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,361,510 : 306,501,157 = 306,501,157 : x
  2. Step 2: Convert to fraction form
    200,361,510/306,501,157 = 306,501,157/x
  3. Step 3: Cross multiply
    200,361,510x = 306,501,157 × 306,501,157
  4. Step 4: Simplify right side
    200,361,510x = 93,942,959,242,338,656
  5. Step 5: Solve for x
    x = 93,942,959,242,338,656/200,361,510
  6. Step 6: Final answer
    x = 468,867,295.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.