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Finding the Third Proportional to 234,366,210 and 495,304,416

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Solution

The third proportional to 234,366,210 and 495,304,416 is: 1,046,765,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,366,210 : 495,304,416 = 495,304,416 : x
  2. Step 2: Convert to fraction form
    234,366,210/495,304,416 = 495,304,416/x
  3. Step 3: Cross multiply
    234,366,210x = 495,304,416 × 495,304,416
  4. Step 4: Simplify right side
    234,366,210x = 245,326,464,509,101,056
  5. Step 5: Solve for x
    x = 245,326,464,509,101,056/234,366,210
  6. Step 6: Final answer
    x = 1,046,765,506.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.