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Finding the Third Proportional to 204,163,074 and 448,006,968

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Solution

The third proportional to 204,163,074 and 448,006,968 is: 983,087,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,163,074 : 448,006,968 = 448,006,968 : x
  2. Step 2: Convert to fraction form
    204,163,074/448,006,968 = 448,006,968/x
  3. Step 3: Cross multiply
    204,163,074x = 448,006,968 × 448,006,968
  4. Step 4: Simplify right side
    204,163,074x = 200,710,243,376,553,024
  5. Step 5: Solve for x
    x = 200,710,243,376,553,024/204,163,074
  6. Step 6: Final answer
    x = 983,087,878.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.