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Finding the Third Proportional to 65,852,635.50 and 146,428,880.50

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Solution

The third proportional to 65,852,635.50 and 146,428,880.50 is: 325,596,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852,635.50 : 146,428,880.50 = 146,428,880.50 : x
  2. Step 2: Convert to fraction form
    65,852,635.50/146,428,880.50 = 146,428,880.50/x
  3. Step 3: Cross multiply
    65,852,635.50x = 146,428,880.50 × 146,428,880.50
  4. Step 4: Simplify right side
    65,852,635.50x = 21,441,417,044,483,280
  5. Step 5: Solve for x
    x = 21,441,417,044,483,280/65,852,635.50
  6. Step 6: Final answer
    x = 325,596,946.60

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.