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Finding the Third Proportional to 102,087,348 and 156,915,635

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Solution

The third proportional to 102,087,348 and 156,915,635 is: 241,190,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087,348 : 156,915,635 = 156,915,635 : x
  2. Step 2: Convert to fraction form
    102,087,348/156,915,635 = 156,915,635/x
  3. Step 3: Cross multiply
    102,087,348x = 156,915,635 × 156,915,635
  4. Step 4: Simplify right side
    102,087,348x = 24,622,516,507,453,224
  5. Step 5: Solve for x
    x = 24,622,516,507,453,224/102,087,348
  6. Step 6: Final answer
    x = 241,190,676.32

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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.