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Finding the Third Proportional to 128,312,894 and 263,428,033

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Solution

The third proportional to 128,312,894 and 263,428,033 is: 540,821,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,312,894 : 263,428,033 = 263,428,033 : x
  2. Step 2: Convert to fraction form
    128,312,894/263,428,033 = 263,428,033/x
  3. Step 3: Cross multiply
    128,312,894x = 263,428,033 × 263,428,033
  4. Step 4: Simplify right side
    128,312,894x = 69,394,328,570,249,088
  5. Step 5: Solve for x
    x = 69,394,328,570,249,088/128,312,894
  6. Step 6: Final answer
    x = 540,821,163.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.