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Finding the Third Proportional to 152,834,364 and 335,693,457

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Solution

The third proportional to 152,834,364 and 335,693,457 is: 737,334,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,834,364 : 335,693,457 = 335,693,457 : x
  2. Step 2: Convert to fraction form
    152,834,364/335,693,457 = 335,693,457/x
  3. Step 3: Cross multiply
    152,834,364x = 335,693,457 × 335,693,457
  4. Step 4: Simplify right side
    152,834,364x = 112,690,097,072,610,848
  5. Step 5: Solve for x
    x = 112,690,097,072,610,848/152,834,364
  6. Step 6: Final answer
    x = 737,334,812.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.