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Finding the Third Proportional to 98,357,486 and 146,739,066

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Solution

The third proportional to 98,357,486 and 146,739,066 is: 218,919,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,357,486 : 146,739,066 = 146,739,066 : x
  2. Step 2: Convert to fraction form
    98,357,486/146,739,066 = 146,739,066/x
  3. Step 3: Cross multiply
    98,357,486x = 146,739,066 × 146,739,066
  4. Step 4: Simplify right side
    98,357,486x = 21,532,353,490,552,356
  5. Step 5: Solve for x
    x = 21,532,353,490,552,356/98,357,486
  6. Step 6: Final answer
    x = 218,919,315.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.