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Finding the Third Proportional to 121,342,702.50 and 262,078,490.50

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Solution

The third proportional to 121,342,702.50 and 262,078,490.50 is: 566,042,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,342,702.50 : 262,078,490.50 = 262,078,490.50 : x
  2. Step 2: Convert to fraction form
    121,342,702.50/262,078,490.50 = 262,078,490.50/x
  3. Step 3: Cross multiply
    121,342,702.50x = 262,078,490.50 × 262,078,490.50
  4. Step 4: Simplify right side
    121,342,702.50x = 68,685,135,182,758,592
  5. Step 5: Solve for x
    x = 68,685,135,182,758,592/121,342,702.50
  6. Step 6: Final answer
    x = 566,042,570.07

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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.