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Finding the Third Proportional to 69,114,693 and 148,486,333

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Solution

The third proportional to 69,114,693 and 148,486,333 is: 319,008,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,114,693 : 148,486,333 = 148,486,333 : x
  2. Step 2: Convert to fraction form
    69,114,693/148,486,333 = 148,486,333/x
  3. Step 3: Cross multiply
    69,114,693x = 148,486,333 × 148,486,333
  4. Step 4: Simplify right side
    69,114,693x = 22,048,191,087,786,888
  5. Step 5: Solve for x
    x = 22,048,191,087,786,888/69,114,693
  6. Step 6: Final answer
    x = 319,008,739.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.