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Finding the Third Proportional to 102,088,137 and 156,916,809

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Solution

The third proportional to 102,088,137 and 156,916,809 is: 241,192,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088,137 : 156,916,809 = 156,916,809 : x
  2. Step 2: Convert to fraction form
    102,088,137/156,916,809 = 156,916,809/x
  3. Step 3: Cross multiply
    102,088,137x = 156,916,809 × 156,916,809
  4. Step 4: Simplify right side
    102,088,137x = 24,622,884,946,742,480
  5. Step 5: Solve for x
    x = 24,622,884,946,742,480/102,088,137
  6. Step 6: Final answer
    x = 241,192,421.28

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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.