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Finding the Third Proportional to 137,189,403 and 294,271,753.50

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Solution

The third proportional to 137,189,403 and 294,271,753.50 is: 631,213,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,189,403 : 294,271,753.50 = 294,271,753.50 : x
  2. Step 2: Convert to fraction form
    137,189,403/294,271,753.50 = 294,271,753.50/x
  3. Step 3: Cross multiply
    137,189,403x = 294,271,753.50 × 294,271,753.50
  4. Step 4: Simplify right side
    137,189,403x = 86,595,864,907,964,768
  5. Step 5: Solve for x
    x = 86,595,864,907,964,768/137,189,403
  6. Step 6: Final answer
    x = 631,213,949.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.