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Finding the Third Proportional to 200,739,394 and 306,878,735

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Solution

The third proportional to 200,739,394 and 306,878,735 is: 469,138,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,739,394 : 306,878,735 = 306,878,735 : x
  2. Step 2: Convert to fraction form
    200,739,394/306,878,735 = 306,878,735/x
  3. Step 3: Cross multiply
    200,739,394x = 306,878,735 × 306,878,735
  4. Step 4: Simplify right side
    200,739,394x = 94,174,557,995,200,224
  5. Step 5: Solve for x
    x = 94,174,557,995,200,224/200,739,394
  6. Step 6: Final answer
    x = 469,138,399.39

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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.