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Finding the Third Proportional to 270,026,095.50 and 589,114,699.31

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Solution

The third proportional to 270,026,095.50 and 589,114,699.31 is: 1,285,268,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,026,095.50 : 589,114,699.31 = 589,114,699.31 : x
  2. Step 2: Convert to fraction form
    270,026,095.50/589,114,699.31 = 589,114,699.31/x
  3. Step 3: Cross multiply
    270,026,095.50x = 589,114,699.31 × 589,114,699.31
  4. Step 4: Simplify right side
    270,026,095.50x = 347,056,128,946,057,280
  5. Step 5: Solve for x
    x = 347,056,128,946,057,280/270,026,095.50
  6. Step 6: Final answer
    x = 1,285,268,848.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.