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Finding the Third Proportional to 160,720,297 and 348,839,329

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Solution

The third proportional to 160,720,297 and 348,839,329 is: 757,146,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,720,297 : 348,839,329 = 348,839,329 : x
  2. Step 2: Convert to fraction form
    160,720,297/348,839,329 = 348,839,329/x
  3. Step 3: Cross multiply
    160,720,297x = 348,839,329 × 348,839,329
  4. Step 4: Simplify right side
    160,720,297x = 121,688,877,457,170,240
  5. Step 5: Solve for x
    x = 121,688,877,457,170,240/160,720,297
  6. Step 6: Final answer
    x = 757,146,917.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.