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Finding the Third Proportional to 117,735,035,394 and 176,559,311,700

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Solution

The third proportional to 117,735,035,394 and 176,559,311,700 is: 264,774,121,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,735,035,394 : 176,559,311,700 = 176,559,311,700 : x
  2. Step 2: Convert to fraction form
    117,735,035,394/176,559,311,700 = 176,559,311,700/x
  3. Step 3: Cross multiply
    117,735,035,394x = 176,559,311,700 × 176,559,311,700
  4. Step 4: Simplify right side
    117,735,035,394x = 31,173,190,547,977,755,688,960
  5. Step 5: Solve for x
    x = 31,173,190,547,977,755,688,960/117,735,035,394
  6. Step 6: Final answer
    x = 264,774,121,345.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.