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Finding the Third Proportional to 188,942,702,685 and 416,397,946,599

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Solution

The third proportional to 188,942,702,685 and 416,397,946,599 is: 917,671,058,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,942,702,685 : 416,397,946,599 = 416,397,946,599 : x
  2. Step 2: Convert to fraction form
    188,942,702,685/416,397,946,599 = 416,397,946,599/x
  3. Step 3: Cross multiply
    188,942,702,685x = 416,397,946,599 × 416,397,946,599
  4. Step 4: Simplify right side
    188,942,702,685x = 173,387,249,931,863,663,312,896
  5. Step 5: Solve for x
    x = 173,387,249,931,863,663,312,896/188,942,702,685
  6. Step 6: Final answer
    x = 917,671,058,304.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.