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Finding the Third Proportional to 191,404,528 and 419,862,344

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Solution

The third proportional to 191,404,528 and 419,862,344 is: 921,004,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,404,528 : 419,862,344 = 419,862,344 : x
  2. Step 2: Convert to fraction form
    191,404,528/419,862,344 = 419,862,344/x
  3. Step 3: Cross multiply
    191,404,528x = 419,862,344 × 419,862,344
  4. Step 4: Simplify right side
    191,404,528x = 176,284,387,909,174,336
  5. Step 5: Solve for x
    x = 176,284,387,909,174,336/191,404,528
  6. Step 6: Final answer
    x = 921,004,271.69

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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.