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Finding the Third Proportional to 177,573,578,964 and 256,563,156,648

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Solution

The third proportional to 177,573,578,964 and 256,563,156,648 is: 370,689,455,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,573,578,964 : 256,563,156,648 = 256,563,156,648 : x
  2. Step 2: Convert to fraction form
    177,573,578,964/256,563,156,648 = 256,563,156,648/x
  3. Step 3: Cross multiply
    177,573,578,964x = 256,563,156,648 × 256,563,156,648
  4. Step 4: Simplify right side
    177,573,578,964x = 65,824,653,349,186,187,558,912
  5. Step 5: Solve for x
    x = 65,824,653,349,186,187,558,912/177,573,578,964
  6. Step 6: Final answer
    x = 370,689,455,791.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.