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Finding the Third Proportional to 98,075,963 and 208,106,806

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Solution

The third proportional to 98,075,963 and 208,106,806 is: 441,580,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,075,963 : 208,106,806 = 208,106,806 : x
  2. Step 2: Convert to fraction form
    98,075,963/208,106,806 = 208,106,806/x
  3. Step 3: Cross multiply
    98,075,963x = 208,106,806 × 208,106,806
  4. Step 4: Simplify right side
    98,075,963x = 43,308,442,703,521,632
  5. Step 5: Solve for x
    x = 43,308,442,703,521,632/98,075,963
  6. Step 6: Final answer
    x = 441,580,601.19

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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.