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Finding the Third Proportional to 145,278,517,368 and 204,495,017,004

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Solution

The third proportional to 145,278,517,368 and 204,495,017,004 is: 287,848,559,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,278,517,368 : 204,495,017,004 = 204,495,017,004 : x
  2. Step 2: Convert to fraction form
    145,278,517,368/204,495,017,004 = 204,495,017,004/x
  3. Step 3: Cross multiply
    145,278,517,368x = 204,495,017,004 × 204,495,017,004
  4. Step 4: Simplify right side
    145,278,517,368x = 41,818,211,979,466,247,241,728
  5. Step 5: Solve for x
    x = 41,818,211,979,466,247,241,728/145,278,517,368
  6. Step 6: Final answer
    x = 287,848,559,698.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.