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Finding the Third Proportional to 103,127,013 and 149,139,657

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Solution

The third proportional to 103,127,013 and 149,139,657 is: 215,681,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,127,013 : 149,139,657 = 149,139,657 : x
  2. Step 2: Convert to fraction form
    103,127,013/149,139,657 = 149,139,657/x
  3. Step 3: Cross multiply
    103,127,013x = 149,139,657 × 149,139,657
  4. Step 4: Simplify right side
    103,127,013x = 22,242,637,290,077,648
  5. Step 5: Solve for x
    x = 22,242,637,290,077,648/103,127,013
  6. Step 6: Final answer
    x = 215,681,969.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.