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Finding the Third Proportional to 228,461,038 and 348,048,229

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Solution

The third proportional to 228,461,038 and 348,048,229 is: 530,232,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,461,038 : 348,048,229 = 348,048,229 : x
  2. Step 2: Convert to fraction form
    228,461,038/348,048,229 = 348,048,229/x
  3. Step 3: Cross multiply
    228,461,038x = 348,048,229 × 348,048,229
  4. Step 4: Simplify right side
    228,461,038x = 121,137,569,710,036,448
  5. Step 5: Solve for x
    x = 121,137,569,710,036,448/228,461,038
  6. Step 6: Final answer
    x = 530,232,948.12

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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.