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Finding the Third Proportional to 173,101,364 and 365,518,264

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Solution

The third proportional to 173,101,364 and 365,518,264 is: 771,822,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,101,364 : 365,518,264 = 365,518,264 : x
  2. Step 2: Convert to fraction form
    173,101,364/365,518,264 = 365,518,264/x
  3. Step 3: Cross multiply
    173,101,364x = 365,518,264 × 365,518,264
  4. Step 4: Simplify right side
    173,101,364x = 133,603,601,317,573,696
  5. Step 5: Solve for x
    x = 133,603,601,317,573,696/173,101,364
  6. Step 6: Final answer
    x = 771,822,926.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.