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Finding the Third Proportional to 110,686,144.36 and 242,223,130.27

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Solution

The third proportional to 110,686,144.36 and 242,223,130.27 is: 530,075,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,686,144.36 : 242,223,130.27 = 242,223,130.27 : x
  2. Step 2: Convert to fraction form
    110,686,144.36/242,223,130.27 = 242,223,130.27/x
  3. Step 3: Cross multiply
    110,686,144.36x = 242,223,130.27 × 242,223,130.27
  4. Step 4: Simplify right side
    110,686,144.36x = 58,672,044,835,675,512
  5. Step 5: Solve for x
    x = 58,672,044,835,675,512/110,686,144.36
  6. Step 6: Final answer
    x = 530,075,784.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.