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Finding the Third Proportional to 102,328,950 and 157,445,740

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Solution

The third proportional to 102,328,950 and 157,445,740 is: 242,249,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,328,950 : 157,445,740 = 157,445,740 : x
  2. Step 2: Convert to fraction form
    102,328,950/157,445,740 = 157,445,740/x
  3. Step 3: Cross multiply
    102,328,950x = 157,445,740 × 157,445,740
  4. Step 4: Simplify right side
    102,328,950x = 24,789,161,044,147,600
  5. Step 5: Solve for x
    x = 24,789,161,044,147,600/102,328,950
  6. Step 6: Final answer
    x = 242,249,735.23

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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.