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Finding the Third Proportional to 102,328,718 and 157,445,361

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Solution

The third proportional to 102,328,718 and 157,445,361 is: 242,249,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,328,718 : 157,445,361 = 157,445,361 : x
  2. Step 2: Convert to fraction form
    102,328,718/157,445,361 = 157,445,361/x
  3. Step 3: Cross multiply
    102,328,718x = 157,445,361 × 157,445,361
  4. Step 4: Simplify right side
    102,328,718x = 24,789,041,700,420,320
  5. Step 5: Solve for x
    x = 24,789,041,700,420,320/102,328,718
  6. Step 6: Final answer
    x = 242,249,118.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.