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Finding the Third Proportional to 103,803,317 and 146,012,395

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Solution

The third proportional to 103,803,317 and 146,012,395 is: 205,384,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,803,317 : 146,012,395 = 146,012,395 : x
  2. Step 2: Convert to fraction form
    103,803,317/146,012,395 = 146,012,395/x
  3. Step 3: Cross multiply
    103,803,317x = 146,012,395 × 146,012,395
  4. Step 4: Simplify right side
    103,803,317x = 21,319,619,493,636,024
  5. Step 5: Solve for x
    x = 21,319,619,493,636,024/103,803,317
  6. Step 6: Final answer
    x = 205,384,761.39

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.