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Finding the Third Proportional to 198,938,636,030 and 432,733,424,368

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Solution

The third proportional to 198,938,636,030 and 432,733,424,368 is: 941,286,319,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,938,636,030 : 432,733,424,368 = 432,733,424,368 : x
  2. Step 2: Convert to fraction form
    198,938,636,030/432,733,424,368 = 432,733,424,368/x
  3. Step 3: Cross multiply
    198,938,636,030x = 432,733,424,368 × 432,733,424,368
  4. Step 4: Simplify right side
    198,938,636,030x = 187,258,216,565,255,559,970,816
  5. Step 5: Solve for x
    x = 187,258,216,565,255,559,970,816/198,938,636,030
  6. Step 6: Final answer
    x = 941,286,319,752.47

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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.