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Finding the Third Proportional to 108,851,616 and 235,019,415

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Solution

The third proportional to 108,851,616 and 235,019,415 is: 507,425,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,851,616 : 235,019,415 = 235,019,415 : x
  2. Step 2: Convert to fraction form
    108,851,616/235,019,415 = 235,019,415/x
  3. Step 3: Cross multiply
    108,851,616x = 235,019,415 × 235,019,415
  4. Step 4: Simplify right side
    108,851,616x = 55,234,125,426,942,224
  5. Step 5: Solve for x
    x = 55,234,125,426,942,224/108,851,616
  6. Step 6: Final answer
    x = 507,425,865.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.