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Finding the Third Proportional to 190,905,128,671 and 287,154,721,829

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Solution

The third proportional to 190,905,128,671 and 287,154,721,829 is: 431,930,953,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,905,128,671 : 287,154,721,829 = 287,154,721,829 : x
  2. Step 2: Convert to fraction form
    190,905,128,671/287,154,721,829 = 287,154,721,829/x
  3. Step 3: Cross multiply
    190,905,128,671x = 287,154,721,829 × 287,154,721,829
  4. Step 4: Simplify right side
    190,905,128,671x = 82,457,834,268,690,361,614,336
  5. Step 5: Solve for x
    x = 82,457,834,268,690,361,614,336/190,905,128,671
  6. Step 6: Final answer
    x = 431,930,953,572.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.