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Finding the Third Proportional to 138,793,307.63 and 304,828,798.50

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Solution

The third proportional to 138,793,307.63 and 304,828,798.50 is: 669,489,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,793,307.63 : 304,828,798.50 = 304,828,798.50 : x
  2. Step 2: Convert to fraction form
    138,793,307.63/304,828,798.50 = 304,828,798.50/x
  3. Step 3: Cross multiply
    138,793,307.63x = 304,828,798.50 × 304,828,798.50
  4. Step 4: Simplify right side
    138,793,307.63x = 92,920,596,394,953,600
  5. Step 5: Solve for x
    x = 92,920,596,394,953,600/138,793,307.63
  6. Step 6: Final answer
    x = 669,489,026.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.