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Finding the Third Proportional to 213,353,476.50 and 465,472,417.50

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Solution

The third proportional to 213,353,476.50 and 465,472,417.50 is: 1,015,519,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,353,476.50 : 465,472,417.50 = 465,472,417.50 : x
  2. Step 2: Convert to fraction form
    213,353,476.50/465,472,417.50 = 465,472,417.50/x
  3. Step 3: Cross multiply
    213,353,476.50x = 465,472,417.50 × 465,472,417.50
  4. Step 4: Simplify right side
    213,353,476.50x = 216,664,571,453,294,304
  5. Step 5: Solve for x
    x = 216,664,571,453,294,304/213,353,476.50
  6. Step 6: Final answer
    x = 1,015,519,292.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.