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Finding the Third Proportional to 249,246,209 and 545,399,194

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Solution

The third proportional to 249,246,209 and 545,399,194 is: 1,193,439,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,246,209 : 545,399,194 = 545,399,194 : x
  2. Step 2: Convert to fraction form
    249,246,209/545,399,194 = 545,399,194/x
  3. Step 3: Cross multiply
    249,246,209x = 545,399,194 × 545,399,194
  4. Step 4: Simplify right side
    249,246,209x = 297,460,280,815,849,664
  5. Step 5: Solve for x
    x = 297,460,280,815,849,664/249,246,209
  6. Step 6: Final answer
    x = 1,193,439,539.20

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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.