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Finding the Third Proportional to 282,158,200.50 and 590,043,516

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Solution

The third proportional to 282,158,200.50 and 590,043,516 is: 1,233,887,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,158,200.50 : 590,043,516 = 590,043,516 : x
  2. Step 2: Convert to fraction form
    282,158,200.50/590,043,516 = 590,043,516/x
  3. Step 3: Cross multiply
    282,158,200.50x = 590,043,516 × 590,043,516
  4. Step 4: Simplify right side
    282,158,200.50x = 348,151,350,773,642,240
  5. Step 5: Solve for x
    x = 348,151,350,773,642,240/282,158,200.50
  6. Step 6: Final answer
    x = 1,233,887,053.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.