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Finding the Third Proportional to 163,438,334,526 and 230,056,897,740

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Solution

The third proportional to 163,438,334,526 and 230,056,897,740 is: 323,829,634,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,438,334,526 : 230,056,897,740 = 230,056,897,740 : x
  2. Step 2: Convert to fraction form
    163,438,334,526/230,056,897,740 = 230,056,897,740/x
  3. Step 3: Cross multiply
    163,438,334,526x = 230,056,897,740 × 230,056,897,740
  4. Step 4: Simplify right side
    163,438,334,526x = 52,926,176,197,752,815,353,856
  5. Step 5: Solve for x
    x = 52,926,176,197,752,815,353,856/163,438,334,526
  6. Step 6: Final answer
    x = 323,829,634,897.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.