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Finding the Third Proportional to 141,138,848 and 305,730,603

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Solution

The third proportional to 141,138,848 and 305,730,603 is: 662,264,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138,848 : 305,730,603 = 305,730,603 : x
  2. Step 2: Convert to fraction form
    141,138,848/305,730,603 = 305,730,603/x
  3. Step 3: Cross multiply
    141,138,848x = 305,730,603 × 305,730,603
  4. Step 4: Simplify right side
    141,138,848x = 93,471,201,610,743,616
  5. Step 5: Solve for x
    x = 93,471,201,610,743,616/141,138,848
  6. Step 6: Final answer
    x = 662,264,167.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.