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Finding the Third Proportional to 134,389,174,050 and 287,947,128,606

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Solution

The third proportional to 134,389,174,050 and 287,947,128,606 is: 616,965,983,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,389,174,050 : 287,947,128,606 = 287,947,128,606 : x
  2. Step 2: Convert to fraction form
    134,389,174,050/287,947,128,606 = 287,947,128,606/x
  3. Step 3: Cross multiply
    134,389,174,050x = 287,947,128,606 × 287,947,128,606
  4. Step 4: Simplify right side
    134,389,174,050x = 82,913,548,872,440,300,437,504
  5. Step 5: Solve for x
    x = 82,913,548,872,440,300,437,504/134,389,174,050
  6. Step 6: Final answer
    x = 616,965,983,000.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.