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Finding the Third Proportional to 273,272,571.70 and 590,089,283.51

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Solution

The third proportional to 273,272,571.70 and 590,089,283.51 is: 1,274,205,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,272,571.70 : 590,089,283.51 = 590,089,283.51 : x
  2. Step 2: Convert to fraction form
    273,272,571.70/590,089,283.51 = 590,089,283.51/x
  3. Step 3: Cross multiply
    273,272,571.70x = 590,089,283.51 × 590,089,283.51
  4. Step 4: Simplify right side
    273,272,571.70x = 348,205,362,510,772,352
  5. Step 5: Solve for x
    x = 348,205,362,510,772,352/273,272,571.70
  6. Step 6: Final answer
    x = 1,274,205,312.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.