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Finding the Third Proportional to 98,963,640 and 204,715,728

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Solution

The third proportional to 98,963,640 and 204,715,728 is: 423,474,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,963,640 : 204,715,728 = 204,715,728 : x
  2. Step 2: Convert to fraction form
    98,963,640/204,715,728 = 204,715,728/x
  3. Step 3: Cross multiply
    98,963,640x = 204,715,728 × 204,715,728
  4. Step 4: Simplify right side
    98,963,640x = 41,908,529,290,569,984
  5. Step 5: Solve for x
    x = 41,908,529,290,569,984/98,963,640
  6. Step 6: Final answer
    x = 423,474,008.14

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.