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Finding the Third Proportional to 149,827,713,616 and 216,475,172,740

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Solution

The third proportional to 149,827,713,616 and 216,475,172,740 is: 312,769,241,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,827,713,616 : 216,475,172,740 = 216,475,172,740 : x
  2. Step 2: Convert to fraction form
    149,827,713,616/216,475,172,740 = 216,475,172,740/x
  3. Step 3: Cross multiply
    149,827,713,616x = 216,475,172,740 × 216,475,172,740
  4. Step 4: Simplify right side
    149,827,713,616x = 46,861,500,412,812,840,665,088
  5. Step 5: Solve for x
    x = 46,861,500,412,812,840,665,088/149,827,713,616
  6. Step 6: Final answer
    x = 312,769,241,963.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.