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Finding the Third Proportional to 147,117,730.50 and 317,638,710

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Solution

The third proportional to 147,117,730.50 and 317,638,710 is: 685,806,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,117,730.50 : 317,638,710 = 317,638,710 : x
  2. Step 2: Convert to fraction form
    147,117,730.50/317,638,710 = 317,638,710/x
  3. Step 3: Cross multiply
    147,117,730.50x = 317,638,710 × 317,638,710
  4. Step 4: Simplify right side
    147,117,730.50x = 100,894,350,090,464,096
  5. Step 5: Solve for x
    x = 100,894,350,090,464,096/147,117,730.50
  6. Step 6: Final answer
    x = 685,806,868.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.