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Finding the Third Proportional to 256,368,319,582.50 and 376,872,802,593.75

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Solution

The third proportional to 256,368,319,582.50 and 376,872,802,593.75 is: 554,019,738,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,368,319,582.50 : 376,872,802,593.75 = 376,872,802,593.75 : x
  2. Step 2: Convert to fraction form
    256,368,319,582.50/376,872,802,593.75 = 376,872,802,593.75/x
  3. Step 3: Cross multiply
    256,368,319,582.50x = 376,872,802,593.75 × 376,872,802,593.75
  4. Step 4: Simplify right side
    256,368,319,582.50x = 142,033,109,334,867,658,670,080
  5. Step 5: Solve for x
    x = 142,033,109,334,867,658,670,080/256,368,319,582.50
  6. Step 6: Final answer
    x = 554,019,738,344.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.