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Finding the Third Proportional to 68,310,234 and 105,657,400.50

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Solution

The third proportional to 68,310,234 and 105,657,400.50 is: 163,423,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,310,234 : 105,657,400.50 = 105,657,400.50 : x
  2. Step 2: Convert to fraction form
    68,310,234/105,657,400.50 = 105,657,400.50/x
  3. Step 3: Cross multiply
    68,310,234x = 105,657,400.50 × 105,657,400.50
  4. Step 4: Simplify right side
    68,310,234x = 11,163,486,280,417,400
  5. Step 5: Solve for x
    x = 11,163,486,280,417,400/68,310,234
  6. Step 6: Final answer
    x = 163,423,335.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.