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Finding the Third Proportional to 52,927,075 and 114,648,992

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Solution

The third proportional to 52,927,075 and 114,648,992 is: 248,349,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,927,075 : 114,648,992 = 114,648,992 : x
  2. Step 2: Convert to fraction form
    52,927,075/114,648,992 = 114,648,992/x
  3. Step 3: Cross multiply
    52,927,075x = 114,648,992 × 114,648,992
  4. Step 4: Simplify right side
    52,927,075x = 13,144,391,366,616,064
  5. Step 5: Solve for x
    x = 13,144,391,366,616,064/52,927,075
  6. Step 6: Final answer
    x = 248,349,098.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.