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Finding the Third Proportional to 116,864,084,664 and 255,244,352,076

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Solution

The third proportional to 116,864,084,664 and 255,244,352,076 is: 557,482,475,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,864,084,664 : 255,244,352,076 = 255,244,352,076 : x
  2. Step 2: Convert to fraction form
    116,864,084,664/255,244,352,076 = 255,244,352,076/x
  3. Step 3: Cross multiply
    116,864,084,664x = 255,244,352,076 × 255,244,352,076
  4. Step 4: Simplify right side
    116,864,084,664x = 65,149,679,266,697,045,868,544
  5. Step 5: Solve for x
    x = 65,149,679,266,697,045,868,544/116,864,084,664
  6. Step 6: Final answer
    x = 557,482,475,937.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.