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Finding the Third Proportional to 102,328,740 and 157,445,380

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Solution

The third proportional to 102,328,740 and 157,445,380 is: 242,249,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,328,740 : 157,445,380 = 157,445,380 : x
  2. Step 2: Convert to fraction form
    102,328,740/157,445,380 = 157,445,380/x
  3. Step 3: Cross multiply
    102,328,740x = 157,445,380 × 157,445,380
  4. Step 4: Simplify right side
    102,328,740x = 24,789,047,683,344,400
  5. Step 5: Solve for x
    x = 24,789,047,683,344,400/102,328,740
  6. Step 6: Final answer
    x = 242,249,124.57

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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.