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Finding the Third Proportional to 109,776,359 and 146,348,595

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Solution

The third proportional to 109,776,359 and 146,348,595 is: 195,104,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,776,359 : 146,348,595 = 146,348,595 : x
  2. Step 2: Convert to fraction form
    109,776,359/146,348,595 = 146,348,595/x
  3. Step 3: Cross multiply
    109,776,359x = 146,348,595 × 146,348,595
  4. Step 4: Simplify right side
    109,776,359x = 21,417,911,258,474,024
  5. Step 5: Solve for x
    x = 21,417,911,258,474,024/109,776,359
  6. Step 6: Final answer
    x = 195,104,952.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.