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Finding the Third Proportional to 190,730,169 and 411,951,486

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Solution

The third proportional to 190,730,169 and 411,951,486 is: 889,759,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,730,169 : 411,951,486 = 411,951,486 : x
  2. Step 2: Convert to fraction form
    190,730,169/411,951,486 = 411,951,486/x
  3. Step 3: Cross multiply
    190,730,169x = 411,951,486 × 411,951,486
  4. Step 4: Simplify right side
    190,730,169x = 169,704,026,817,608,192
  5. Step 5: Solve for x
    x = 169,704,026,817,608,192/190,730,169
  6. Step 6: Final answer
    x = 889,759,746.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.