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Finding the Third Proportional to 172,046,245.50 and 371,506,405.50

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Solution

The third proportional to 172,046,245.50 and 371,506,405.50 is: 802,208,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,046,245.50 : 371,506,405.50 = 371,506,405.50 : x
  2. Step 2: Convert to fraction form
    172,046,245.50/371,506,405.50 = 371,506,405.50/x
  3. Step 3: Cross multiply
    172,046,245.50x = 371,506,405.50 × 371,506,405.50
  4. Step 4: Simplify right side
    172,046,245.50x = 138,017,009,327,530,432
  5. Step 5: Solve for x
    x = 138,017,009,327,530,432/172,046,245.50
  6. Step 6: Final answer
    x = 802,208,783.61

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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.