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Finding the Third Proportional to 106,368,946 and 232,916,038

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Solution

The third proportional to 106,368,946 and 232,916,038 is: 510,016,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,368,946 : 232,916,038 = 232,916,038 : x
  2. Step 2: Convert to fraction form
    106,368,946/232,916,038 = 232,916,038/x
  3. Step 3: Cross multiply
    106,368,946x = 232,916,038 × 232,916,038
  4. Step 4: Simplify right side
    106,368,946x = 54,249,880,757,617,440
  5. Step 5: Solve for x
    x = 54,249,880,757,617,440/106,368,946
  6. Step 6: Final answer
    x = 510,016,154.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.