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Finding the Third Proportional to 110,686,155 and 242,223,153

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Solution

The third proportional to 110,686,155 and 242,223,153 is: 530,075,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,686,155 : 242,223,153 = 242,223,153 : x
  2. Step 2: Convert to fraction form
    110,686,155/242,223,153 = 242,223,153/x
  3. Step 3: Cross multiply
    110,686,155x = 242,223,153 × 242,223,153
  4. Step 4: Simplify right side
    110,686,155x = 58,672,055,849,261,408
  5. Step 5: Solve for x
    x = 58,672,055,849,261,408/110,686,155
  6. Step 6: Final answer
    x = 530,075,833.33

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Why These Related Problems?

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