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Finding the Third Proportional to 45,989,428 and 100,143,655

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Solution

The third proportional to 45,989,428 and 100,143,655 is: 218,066,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,989,428 : 100,143,655 = 100,143,655 : x
  2. Step 2: Convert to fraction form
    45,989,428/100,143,655 = 100,143,655/x
  3. Step 3: Cross multiply
    45,989,428x = 100,143,655 × 100,143,655
  4. Step 4: Simplify right side
    45,989,428x = 10,028,751,636,759,024
  5. Step 5: Solve for x
    x = 10,028,751,636,759,024/45,989,428
  6. Step 6: Final answer
    x = 218,066,457.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.