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Finding the Third Proportional to 208,166,490 and 462,863,317.50

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Solution

The third proportional to 208,166,490 and 462,863,317.50 is: 1,029,187,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,166,490 : 462,863,317.50 = 462,863,317.50 : x
  2. Step 2: Convert to fraction form
    208,166,490/462,863,317.50 = 462,863,317.50/x
  3. Step 3: Cross multiply
    208,166,490x = 462,863,317.50 × 462,863,317.50
  4. Step 4: Simplify right side
    208,166,490x = 214,242,450,687,105,792
  5. Step 5: Solve for x
    x = 214,242,450,687,105,792/208,166,490
  6. Step 6: Final answer
    x = 1,029,187,986.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.