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Finding the Third Proportional to 153,440,066 and 328,645,156

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Solution

The third proportional to 153,440,066 and 328,645,156 is: 703,907,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,440,066 : 328,645,156 = 328,645,156 : x
  2. Step 2: Convert to fraction form
    153,440,066/328,645,156 = 328,645,156/x
  3. Step 3: Cross multiply
    153,440,066x = 328,645,156 × 328,645,156
  4. Step 4: Simplify right side
    153,440,066x = 108,007,638,562,264,336
  5. Step 5: Solve for x
    x = 108,007,638,562,264,336/153,440,066
  6. Step 6: Final answer
    x = 703,907,664.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.