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Finding the Third Proportional to 198,938,636,028 and 432,733,424,364

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Solution

The third proportional to 198,938,636,028 and 432,733,424,364 is: 941,286,319,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,938,636,028 : 432,733,424,364 = 432,733,424,364 : x
  2. Step 2: Convert to fraction form
    198,938,636,028/432,733,424,364 = 432,733,424,364/x
  3. Step 3: Cross multiply
    198,938,636,028x = 432,733,424,364 × 432,733,424,364
  4. Step 4: Simplify right side
    198,938,636,028x = 187,258,216,561,793,715,666,944
  5. Step 5: Solve for x
    x = 187,258,216,561,793,715,666,944/198,938,636,028
  6. Step 6: Final answer
    x = 941,286,319,744.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.