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Finding the Third Proportional to 179,602,484 and 262,685,262

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Solution

The third proportional to 179,602,484 and 262,685,262 is: 384,201,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,602,484 : 262,685,262 = 262,685,262 : x
  2. Step 2: Convert to fraction form
    179,602,484/262,685,262 = 262,685,262/x
  3. Step 3: Cross multiply
    179,602,484x = 262,685,262 × 262,685,262
  4. Step 4: Simplify right side
    179,602,484x = 69,003,546,872,008,640
  5. Step 5: Solve for x
    x = 69,003,546,872,008,640/179,602,484
  6. Step 6: Final answer
    x = 384,201,517.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.