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Finding the Third Proportional to 249,237,528 and 545,384,496

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Solution

The third proportional to 249,237,528 and 545,384,496 is: 1,193,416,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,237,528 : 545,384,496 = 545,384,496 : x
  2. Step 2: Convert to fraction form
    249,237,528/545,384,496 = 545,384,496/x
  3. Step 3: Cross multiply
    249,237,528x = 545,384,496 × 545,384,496
  4. Step 4: Simplify right side
    249,237,528x = 297,444,248,477,174,016
  5. Step 5: Solve for x
    x = 297,444,248,477,174,016/249,237,528
  6. Step 6: Final answer
    x = 1,193,416,781.43

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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.