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Finding the Third Proportional to 235,920,822.75 and 353,881,264.50

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Solution

The third proportional to 235,920,822.75 and 353,881,264.50 is: 530,821,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,920,822.75 : 353,881,264.50 = 353,881,264.50 : x
  2. Step 2: Convert to fraction form
    235,920,822.75/353,881,264.50 = 353,881,264.50/x
  3. Step 3: Cross multiply
    235,920,822.75x = 353,881,264.50 × 353,881,264.50
  4. Step 4: Simplify right side
    235,920,822.75x = 125,231,949,364,118,960
  5. Step 5: Solve for x
    x = 125,231,949,364,118,960/235,920,822.75
  6. Step 6: Final answer
    x = 530,821,942.31

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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.