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Finding the Third Proportional to 235,415,976 and 506,815,840.50

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Solution

The third proportional to 235,415,976 and 506,815,840.50 is: 1,091,099,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,415,976 : 506,815,840.50 = 506,815,840.50 : x
  2. Step 2: Convert to fraction form
    235,415,976/506,815,840.50 = 506,815,840.50/x
  3. Step 3: Cross multiply
    235,415,976x = 506,815,840.50 × 506,815,840.50
  4. Step 4: Simplify right side
    235,415,976x = 256,862,296,181,721,440
  5. Step 5: Solve for x
    x = 256,862,296,181,721,440/235,415,976
  6. Step 6: Final answer
    x = 1,091,099,680.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.