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Finding the Third Proportional to 113,183,764 and 242,502,664

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Solution

The third proportional to 113,183,764 and 242,502,664 is: 519,575,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,183,764 : 242,502,664 = 242,502,664 : x
  2. Step 2: Convert to fraction form
    113,183,764/242,502,664 = 242,502,664/x
  3. Step 3: Cross multiply
    113,183,764x = 242,502,664 × 242,502,664
  4. Step 4: Simplify right side
    113,183,764x = 58,807,542,047,096,896
  5. Step 5: Solve for x
    x = 58,807,542,047,096,896/113,183,764
  6. Step 6: Final answer
    x = 519,575,776.32

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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.