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Finding the Third Proportional to 102,229,492.50 and 158,594,694.19

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Solution

The third proportional to 102,229,492.50 and 158,594,694.19 is: 246,037,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,229,492.50 : 158,594,694.19 = 158,594,694.19 : x
  2. Step 2: Convert to fraction form
    102,229,492.50/158,594,694.19 = 158,594,694.19/x
  3. Step 3: Cross multiply
    102,229,492.50x = 158,594,694.19 × 158,594,694.19
  4. Step 4: Simplify right side
    102,229,492.50x = 25,152,277,024,426,648
  5. Step 5: Solve for x
    x = 25,152,277,024,426,648/102,229,492.50
  6. Step 6: Final answer
    x = 246,037,385.19

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