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Finding the Third Proportional to 98,075,961 and 208,106,802

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Solution

The third proportional to 98,075,961 and 208,106,802 is: 441,580,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,075,961 : 208,106,802 = 208,106,802 : x
  2. Step 2: Convert to fraction form
    98,075,961/208,106,802 = 208,106,802/x
  3. Step 3: Cross multiply
    98,075,961x = 208,106,802 × 208,106,802
  4. Step 4: Simplify right side
    98,075,961x = 43,308,441,038,667,200
  5. Step 5: Solve for x
    x = 43,308,441,038,667,200/98,075,961
  6. Step 6: Final answer
    x = 441,580,593.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.