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Finding the Third Proportional to 323,836,890.75 and 473,610,145.50

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Solution

The third proportional to 323,836,890.75 and 473,610,145.50 is: 692,652,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,836,890.75 : 473,610,145.50 = 473,610,145.50 : x
  2. Step 2: Convert to fraction form
    323,836,890.75/473,610,145.50 = 473,610,145.50/x
  3. Step 3: Cross multiply
    323,836,890.75x = 473,610,145.50 × 473,610,145.50
  4. Step 4: Simplify right side
    323,836,890.75x = 224,306,569,920,531,168
  5. Step 5: Solve for x
    x = 224,306,569,920,531,168/323,836,890.75
  6. Step 6: Final answer
    x = 692,652,925.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.