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Finding the Third Proportional to 195,139,110 and 424,289,148

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Solution

The third proportional to 195,139,110 and 424,289,148 is: 922,527,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,139,110 : 424,289,148 = 424,289,148 : x
  2. Step 2: Convert to fraction form
    195,139,110/424,289,148 = 424,289,148/x
  3. Step 3: Cross multiply
    195,139,110x = 424,289,148 × 424,289,148
  4. Step 4: Simplify right side
    195,139,110x = 180,021,281,110,565,888
  5. Step 5: Solve for x
    x = 180,021,281,110,565,888/195,139,110
  6. Step 6: Final answer
    x = 922,527,939.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.