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Finding the Third Proportional to 255,637,968 and 559,105,776

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Solution

The third proportional to 255,637,968 and 559,105,776 is: 1,222,820,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,637,968 : 559,105,776 = 559,105,776 : x
  2. Step 2: Convert to fraction form
    255,637,968/559,105,776 = 559,105,776/x
  3. Step 3: Cross multiply
    255,637,968x = 559,105,776 × 559,105,776
  4. Step 4: Simplify right side
    255,637,968x = 312,599,268,756,562,176
  5. Step 5: Solve for x
    x = 312,599,268,756,562,176/255,637,968
  6. Step 6: Final answer
    x = 1,222,820,190.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.