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Finding the Third Proportional to 71,317,896,851 and 155,450,258,915.50

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Solution

The third proportional to 71,317,896,851 and 155,450,258,915.50 is: 338,831,963,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,317,896,851 : 155,450,258,915.50 = 155,450,258,915.50 : x
  2. Step 2: Convert to fraction form
    71,317,896,851/155,450,258,915.50 = 155,450,258,915.50/x
  3. Step 3: Cross multiply
    71,317,896,851x = 155,450,258,915.50 × 155,450,258,915.50
  4. Step 4: Simplify right side
    71,317,896,851x = 24,164,782,996,895,985,303,552
  5. Step 5: Solve for x
    x = 24,164,782,996,895,985,303,552/71,317,896,851
  6. Step 6: Final answer
    x = 338,831,963,137.98

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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.