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Finding the Third Proportional to 200,607,748 and 277,194,335

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Solution

The third proportional to 200,607,748 and 277,194,335 is: 383,019,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,607,748 : 277,194,335 = 277,194,335 : x
  2. Step 2: Convert to fraction form
    200,607,748/277,194,335 = 277,194,335/x
  3. Step 3: Cross multiply
    200,607,748x = 277,194,335 × 277,194,335
  4. Step 4: Simplify right side
    200,607,748x = 76,836,699,356,092,224
  5. Step 5: Solve for x
    x = 76,836,699,356,092,224/200,607,748
  6. Step 6: Final answer
    x = 383,019,599.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.