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Finding the Third Proportional to 226,572,103.13 and 349,866,973.69

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Solution

The third proportional to 226,572,103.13 and 349,866,973.69 is: 540,255,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,103.13 : 349,866,973.69 = 349,866,973.69 : x
  2. Step 2: Convert to fraction form
    226,572,103.13/349,866,973.69 = 349,866,973.69/x
  3. Step 3: Cross multiply
    226,572,103.13x = 349,866,973.69 × 349,866,973.69
  4. Step 4: Simplify right side
    226,572,103.13x = 122,406,899,277,249,824
  5. Step 5: Solve for x
    x = 122,406,899,277,249,824/226,572,103.13
  6. Step 6: Final answer
    x = 540,255,828.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.