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Finding the Third Proportional to 230,026,196.25 and 495,127,498.50

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Solution

The third proportional to 230,026,196.25 and 495,127,498.50 is: 1,065,753,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,026,196.25 : 495,127,498.50 = 495,127,498.50 : x
  2. Step 2: Convert to fraction form
    230,026,196.25/495,127,498.50 = 495,127,498.50/x
  3. Step 3: Cross multiply
    230,026,196.25x = 495,127,498.50 × 495,127,498.50
  4. Step 4: Simplify right side
    230,026,196.25x = 245,151,239,770,867,488
  5. Step 5: Solve for x
    x = 245,151,239,770,867,488/230,026,196.25
  6. Step 6: Final answer
    x = 1,065,753,569.67

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