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Finding the Third Proportional to 228,460,848.50 and 348,047,962.50

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Solution

The third proportional to 228,460,848.50 and 348,047,962.50 is: 530,232,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,460,848.50 : 348,047,962.50 = 348,047,962.50 : x
  2. Step 2: Convert to fraction form
    228,460,848.50/348,047,962.50 = 348,047,962.50/x
  3. Step 3: Cross multiply
    228,460,848.50x = 348,047,962.50 × 348,047,962.50
  4. Step 4: Simplify right side
    228,460,848.50x = 121,137,384,200,401,408
  5. Step 5: Solve for x
    x = 121,137,384,200,401,408/228,460,848.50
  6. Step 6: Final answer
    x = 530,232,575.93

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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.