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Finding the Third Proportional to 76,154,751 and 116,017,263

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Solution

The third proportional to 76,154,751 and 116,017,263 is: 176,745,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,154,751 : 116,017,263 = 116,017,263 : x
  2. Step 2: Convert to fraction form
    76,154,751/116,017,263 = 116,017,263/x
  3. Step 3: Cross multiply
    76,154,751x = 116,017,263 × 116,017,263
  4. Step 4: Simplify right side
    76,154,751x = 13,460,005,314,011,168
  5. Step 5: Solve for x
    x = 13,460,005,314,011,168/76,154,751
  6. Step 6: Final answer
    x = 176,745,444.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.