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Finding the Third Proportional to 177,573,578,940 and 256,563,156,618

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Solution

The third proportional to 177,573,578,940 and 256,563,156,618 is: 370,689,455,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,573,578,940 : 256,563,156,618 = 256,563,156,618 : x
  2. Step 2: Convert to fraction form
    177,573,578,940/256,563,156,618 = 256,563,156,618/x
  3. Step 3: Cross multiply
    177,573,578,940x = 256,563,156,618 × 256,563,156,618
  4. Step 4: Simplify right side
    177,573,578,940x = 65,824,653,333,792,395,624,448
  5. Step 5: Solve for x
    x = 65,824,653,333,792,395,624,448/177,573,578,940
  6. Step 6: Final answer
    x = 370,689,455,755.32

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Why These Related Problems?

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