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Finding the Third Proportional to 228,461,029 and 348,048,216.50

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Solution

The third proportional to 228,461,029 and 348,048,216.50 is: 530,232,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,461,029 : 348,048,216.50 = 348,048,216.50 : x
  2. Step 2: Convert to fraction form
    228,461,029/348,048,216.50 = 348,048,216.50/x
  3. Step 3: Cross multiply
    228,461,029x = 348,048,216.50 × 348,048,216.50
  4. Step 4: Simplify right side
    228,461,029x = 121,137,561,008,830,880
  5. Step 5: Solve for x
    x = 121,137,561,008,830,880/228,461,029
  6. Step 6: Final answer
    x = 530,232,930.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.