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Finding the Third Proportional to 123,470,128 and 181,510,616

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Solution

The third proportional to 123,470,128 and 181,510,616 is: 266,834,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,470,128 : 181,510,616 = 181,510,616 : x
  2. Step 2: Convert to fraction form
    123,470,128/181,510,616 = 181,510,616/x
  3. Step 3: Cross multiply
    123,470,128x = 181,510,616 × 181,510,616
  4. Step 4: Simplify right side
    123,470,128x = 32,946,103,720,699,456
  5. Step 5: Solve for x
    x = 32,946,103,720,699,456/123,470,128
  6. Step 6: Final answer
    x = 266,834,612.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.