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Finding the Third Proportional to 149,827,713,696 and 216,475,172,840

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Solution

The third proportional to 149,827,713,696 and 216,475,172,840 is: 312,769,242,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,827,713,696 : 216,475,172,840 = 216,475,172,840 : x
  2. Step 2: Convert to fraction form
    149,827,713,696/216,475,172,840 = 216,475,172,840/x
  3. Step 3: Cross multiply
    149,827,713,696x = 216,475,172,840 × 216,475,172,840
  4. Step 4: Simplify right side
    149,827,713,696x = 46,861,500,456,107,872,616,448
  5. Step 5: Solve for x
    x = 46,861,500,456,107,872,616,448/149,827,713,696
  6. Step 6: Final answer
    x = 312,769,242,085.55

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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.