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Finding the Third Proportional to 201,896,161.88 and 438,249,490.88

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Solution

The third proportional to 201,896,161.88 and 438,249,490.88 is: 951,294,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,896,161.88 : 438,249,490.88 = 438,249,490.88 : x
  2. Step 2: Convert to fraction form
    201,896,161.88/438,249,490.88 = 438,249,490.88/x
  3. Step 3: Cross multiply
    201,896,161.88x = 438,249,490.88 × 438,249,490.88
  4. Step 4: Simplify right side
    201,896,161.88x = 192,062,616,252,196,704
  5. Step 5: Solve for x
    x = 192,062,616,252,196,704/201,896,161.88
  6. Step 6: Final answer
    x = 951,294,043.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.