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Finding the Third Proportional to 76,725,153 and 164,366,946

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Solution

The third proportional to 76,725,153 and 164,366,946 is: 352,120,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725,153 : 164,366,946 = 164,366,946 : x
  2. Step 2: Convert to fraction form
    76,725,153/164,366,946 = 164,366,946/x
  3. Step 3: Cross multiply
    76,725,153x = 164,366,946 × 164,366,946
  4. Step 4: Simplify right side
    76,725,153x = 27,016,492,937,366,916
  5. Step 5: Solve for x
    x = 27,016,492,937,366,916/76,725,153
  6. Step 6: Final answer
    x = 352,120,417.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.