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Finding the Third Proportional to 146,324,924 and 199,303,501.50

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Solution

The third proportional to 146,324,924 and 199,303,501.50 is: 271,463,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,324,924 : 199,303,501.50 = 199,303,501.50 : x
  2. Step 2: Convert to fraction form
    146,324,924/199,303,501.50 = 199,303,501.50/x
  3. Step 3: Cross multiply
    146,324,924x = 199,303,501.50 × 199,303,501.50
  4. Step 4: Simplify right side
    146,324,924x = 39,721,885,710,160,504
  5. Step 5: Solve for x
    x = 39,721,885,710,160,504/146,324,924
  6. Step 6: Final answer
    x = 271,463,566.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.