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Finding the Third Proportional to 102,977,368 and 152,684,195

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Solution

The third proportional to 102,977,368 and 152,684,195 is: 226,384,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,977,368 : 152,684,195 = 152,684,195 : x
  2. Step 2: Convert to fraction form
    102,977,368/152,684,195 = 152,684,195/x
  3. Step 3: Cross multiply
    102,977,368x = 152,684,195 × 152,684,195
  4. Step 4: Simplify right side
    102,977,368x = 23,312,463,402,798,024
  5. Step 5: Solve for x
    x = 23,312,463,402,798,024/102,977,368
  6. Step 6: Final answer
    x = 226,384,339.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.