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Finding the Third Proportional to 102,328,960 and 157,445,754

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Solution

The third proportional to 102,328,960 and 157,445,754 is: 242,249,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,328,960 : 157,445,754 = 157,445,754 : x
  2. Step 2: Convert to fraction form
    102,328,960/157,445,754 = 157,445,754/x
  3. Step 3: Cross multiply
    102,328,960x = 157,445,754 × 157,445,754
  4. Step 4: Simplify right side
    102,328,960x = 24,789,165,452,628,516
  5. Step 5: Solve for x
    x = 24,789,165,452,628,516/102,328,960
  6. Step 6: Final answer
    x = 242,249,754.64

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Why These Related Problems?

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