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Finding the Third Proportional to 44,736,929 and 97,847,266

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Solution

The third proportional to 44,736,929 and 97,847,266 is: 214,008,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,736,929 : 97,847,266 = 97,847,266 : x
  2. Step 2: Convert to fraction form
    44,736,929/97,847,266 = 97,847,266/x
  3. Step 3: Cross multiply
    44,736,929x = 97,847,266 × 97,847,266
  4. Step 4: Simplify right side
    44,736,929x = 9,574,087,463,674,756
  5. Step 5: Solve for x
    x = 9,574,087,463,674,756/44,736,929
  6. Step 6: Final answer
    x = 214,008,598.21

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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.