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Finding the Third Proportional to 153,440,064 and 328,645,152

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Solution

The third proportional to 153,440,064 and 328,645,152 is: 703,907,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,440,064 : 328,645,152 = 328,645,152 : x
  2. Step 2: Convert to fraction form
    153,440,064/328,645,152 = 328,645,152/x
  3. Step 3: Cross multiply
    153,440,064x = 328,645,152 × 328,645,152
  4. Step 4: Simplify right side
    153,440,064x = 108,007,635,933,103,104
  5. Step 5: Solve for x
    x = 108,007,635,933,103,104/153,440,064
  6. Step 6: Final answer
    x = 703,907,656.95

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