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Finding the Third Proportional to 111,248,953.50 and 163,658,332.50

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Solution

The third proportional to 111,248,953.50 and 163,658,332.50 is: 240,757,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,248,953.50 : 163,658,332.50 = 163,658,332.50 : x
  2. Step 2: Convert to fraction form
    111,248,953.50/163,658,332.50 = 163,658,332.50/x
  3. Step 3: Cross multiply
    111,248,953.50x = 163,658,332.50 × 163,658,332.50
  4. Step 4: Simplify right side
    111,248,953.50x = 26,784,049,796,680,556
  5. Step 5: Solve for x
    x = 26,784,049,796,680,556/111,248,953.50
  6. Step 6: Final answer
    x = 240,757,768.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.