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Finding the Third Proportional to 99,685,585,025 and 214,490,329,773

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Solution

The third proportional to 99,685,585,025 and 214,490,329,773 is: 461,512,078,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,685,585,025 : 214,490,329,773 = 214,490,329,773 : x
  2. Step 2: Convert to fraction form
    99,685,585,025/214,490,329,773 = 214,490,329,773/x
  3. Step 3: Cross multiply
    99,685,585,025x = 214,490,329,773 × 214,490,329,773
  4. Step 4: Simplify right side
    99,685,585,025x = 46,006,101,566,130,294,358,016
  5. Step 5: Solve for x
    x = 46,006,101,566,130,294,358,016/99,685,585,025
  6. Step 6: Final answer
    x = 461,512,078,748.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.