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Finding the Third Proportional to 88,712,548.52 and 194,148,675.98

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Solution

The third proportional to 88,712,548.52 and 194,148,675.98 is: 424,897,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,712,548.52 : 194,148,675.98 = 194,148,675.98 : x
  2. Step 2: Convert to fraction form
    88,712,548.52/194,148,675.98 = 194,148,675.98/x
  3. Step 3: Cross multiply
    88,712,548.52x = 194,148,675.98 × 194,148,675.98
  4. Step 4: Simplify right side
    88,712,548.52x = 37,693,708,386,487,776
  5. Step 5: Solve for x
    x = 37,693,708,386,487,776/88,712,548.52
  6. Step 6: Final answer
    x = 424,897,142.67

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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.