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Finding the Third Proportional to 121,854,148 and 263,771,528

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Solution

The third proportional to 121,854,148 and 263,771,528 is: 570,972,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,854,148 : 263,771,528 = 263,771,528 : x
  2. Step 2: Convert to fraction form
    121,854,148/263,771,528 = 263,771,528/x
  3. Step 3: Cross multiply
    121,854,148x = 263,771,528 × 263,771,528
  4. Step 4: Simplify right side
    121,854,148x = 69,575,418,983,454,784
  5. Step 5: Solve for x
    x = 69,575,418,983,454,784/121,854,148
  6. Step 6: Final answer
    x = 570,972,922.35

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Why These Related Problems?

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