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Finding the Third Proportional to 191,789,069.63 and 413,514,387.75

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Solution

The third proportional to 191,789,069.63 and 413,514,387.75 is: 891,574,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,789,069.63 : 413,514,387.75 = 413,514,387.75 : x
  2. Step 2: Convert to fraction form
    191,789,069.63/413,514,387.75 = 413,514,387.75/x
  3. Step 3: Cross multiply
    191,789,069.63x = 413,514,387.75 × 413,514,387.75
  4. Step 4: Simplify right side
    191,789,069.63x = 170,994,148,876,257,344
  5. Step 5: Solve for x
    x = 170,994,148,876,257,344/191,789,069.63
  6. Step 6: Final answer
    x = 891,574,004.77

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